Atkin-Lehner |
2+ 3+ 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650i |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-4983899760000000 = -1 · 210 · 33 · 57 · 74 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6042,-3399884] |
[a1,a2,a3,a4,a6] |
j |
-57825915363/11813688320 |
j-invariant |
L |
3.0824722310966 |
L(r)(E,1)/r! |
Ω |
0.19265452685152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97650cp1 19530bl1 |
Quadratic twists by: -3 5 |